6x(x-3)=2x(3x-4)-10x

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Solution for 6x(x-3)=2x(3x-4)-10x equation:


Simplifying
6x(x + -3) = 2x(3x + -4) + -10x

Reorder the terms:
6x(-3 + x) = 2x(3x + -4) + -10x
(-3 * 6x + x * 6x) = 2x(3x + -4) + -10x
(-18x + 6x2) = 2x(3x + -4) + -10x

Reorder the terms:
-18x + 6x2 = 2x(-4 + 3x) + -10x
-18x + 6x2 = (-4 * 2x + 3x * 2x) + -10x
-18x + 6x2 = (-8x + 6x2) + -10x

Reorder the terms:
-18x + 6x2 = -8x + -10x + 6x2

Combine like terms: -8x + -10x = -18x
-18x + 6x2 = -18x + 6x2

Add '18x' to each side of the equation.
-18x + 18x + 6x2 = -18x + 18x + 6x2

Combine like terms: -18x + 18x = 0
0 + 6x2 = -18x + 18x + 6x2
6x2 = -18x + 18x + 6x2

Combine like terms: -18x + 18x = 0
6x2 = 0 + 6x2
6x2 = 6x2

Add '-6x2' to each side of the equation.
6x2 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
0 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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